In how many different ways can the letters of the word 'MIRACLE' be arranged?

720

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5040

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2520

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40320

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None of these

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Solution

The correct option is B 5040
The word MIRACLE has 7 distinct letters.
By Short Trick 1
Number of arrangements $=^{7} P_{7}$ = 7 !
$= 7 \times 6 \times 5 \times 4 \times 3 \times 2 = 5040$

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